diff --git a/modules/juce_core/streams/juce_MemoryInputStream.cpp b/modules/juce_core/streams/juce_MemoryInputStream.cpp
index 9f6a8dee97..cd7aa09e4d 100644
--- a/modules/juce_core/streams/juce_MemoryInputStream.cpp
+++ b/modules/juce_core/streams/juce_MemoryInputStream.cpp
@@ -28,7 +28,10 @@ MemoryInputStream::MemoryInputStream (const void* sourceData, size_t sourceDataS
       dataSize (sourceDataSize)
 {
     if (keepCopy)
-        createInternalCopy();
+    {
+        internalCopy = MemoryBlock (sourceData, sourceDataSize);
+        data = internalCopy.getData();
+    }
 }
 
 MemoryInputStream::MemoryInputStream (const MemoryBlock& sourceData, bool keepCopy)
@@ -36,14 +39,16 @@ MemoryInputStream::MemoryInputStream (const MemoryBlock& sourceData, bool keepCo
       dataSize (sourceData.getSize())
 {
     if (keepCopy)
-        createInternalCopy();
+    {
+        internalCopy = sourceData;
+        data = internalCopy.getData();
+    }
 }
 
-void MemoryInputStream::createInternalCopy()
+MemoryInputStream::MemoryInputStream (MemoryBlock&& source)
+    : internalCopy (std::move (source))
 {
-    internalCopy.malloc (dataSize);
-    memcpy (internalCopy, data, dataSize);
-    data = internalCopy;
+    data = internalCopy.getData();
 }
 
 MemoryInputStream::~MemoryInputStream()
diff --git a/modules/juce_core/streams/juce_MemoryInputStream.h b/modules/juce_core/streams/juce_MemoryInputStream.h
index fc08528f8d..01aef62aeb 100644
--- a/modules/juce_core/streams/juce_MemoryInputStream.h
+++ b/modules/juce_core/streams/juce_MemoryInputStream.h
@@ -62,6 +62,9 @@ public:
     MemoryInputStream (const MemoryBlock& data,
                        bool keepInternalCopyOfData);
 
+    /** Creates a stream by moving from a MemoryBlock. */
+    MemoryInputStream (MemoryBlock&& blockToTake);
+
     /** Destructor. */
     ~MemoryInputStream() override;
 
@@ -83,9 +86,7 @@ private:
     //==============================================================================
     const void* data;
     size_t dataSize, position = 0;
-    HeapBlock<char> internalCopy;
-
-    void createInternalCopy();
+    MemoryBlock internalCopy;
 
     JUCE_DECLARE_NON_COPYABLE_WITH_LEAK_DETECTOR (MemoryInputStream)
 };